Question

14) A positive number is two fifths of another positive number. The sum of the numbers is 49. What arethe two numbers?

Answer 1

Let's use the variable x to represent the second number. The first number is two fifths of x, so the first number is 2x/5.

If the sum of the numbers is 49, we can write the following equation:

`(2)/(5)x+x=49`

Now, solving the equation for x, we have:

`\begin{gathered} (2)/(5)x+(5)/(5)x=49\\ \\ (7)/(5)x=49\\ \\ (1)/(5)x=7\\ \\ x=7\cdot5\\ \\ x=35 \end{gathered}`

Let's calculate the first number:

Therefore the numbers are 14 and 35.